Least Common Multiple of 6034 and 6041
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6034 and 6041 the smallest integer that is 5207342 that is divisible by both numbers.
Least Common Multiple (LCM) of 6034 and 6041 is 5207342.
LCM(6034,6041) = 5207342
LCM of 6034 and 6041
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6034 and 6041 by Prime method
- Least Common Multiple of 6034 and 6041 with GCF Formula
LCM of 6034 and 6041 is 5207342
Least common multiple can be found by multiplying the highest exponent prime factors of 6034 and 6041. First we will calculate the prime factors of 6034 and 6041.
Prime Factorization of 6034
| 2 | 6034 |
| 7 | 3017 |
| 431 | 431 |
| 1 |
Prime factors of 6034 are 2, 7,431. Prime factorization of 6034 in exponential form is:
6034 = 21×71×4311
Prime Factorization of 6041
| 7 | 6041 |
| 863 | 863 |
| 1 |
Prime factors of 6041 are 7,863. Prime factorization of 6041 in exponential form is:
6041 = 71×8631
Now multiplying the highest exponent prime factors to calculate the LCM of 6034 and 6041.
LCM(6034,6041) = 21×71×4311×8631
LCM(6034,6041) = 5207342
Factors of 6034
List of positive integer factors of 6034 that divides 6034 without a remainder.
1, 2, 7, 14, 431, 862, 3017, 6034
Factors of 6041
List of positive integer factors of 6041 that divides 6041 without a remainder.
1, 7, 863, 6041
Least Common Multiple of 6034 and 6041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6034 and 6041, than apply into the LCM equation.
GCF(6034,6041) = 7
LCM(6034,6041) = ( 6034 × 6041) / 7
LCM(6034,6041) = 36451394 / 7
LCM(6034,6041) = 5207342
Properties of LCM 6034 and 6041
(i) The LCM of 6041 and 6034 is associative
LCM of 6034 and 6041 = LCM of 6041 and 6034
Related Least Common Multiples of 6034
Related Least Common Multiples of 6041
Frequently Asked Questions on LCM of 6034 and 6041
1. What is the LCM of 6034 and 6041?
Answer: LCM of 6034 and 6041 is 5207342.
2. What are the Factors of 6034?
Answer: Factors of 6034 are 1, 2, 7, 14, 431, 862, 3017, 6034. There are 8 integers that are factors of 6034. The greatest factor of 6034 is 6034.
3. What are the Factors of 6041?
Answer: Factors of 6041 are 1, 7, 863, 6041. There are 4 integers that are factors of 6041. The greatest factor of 6041 is 6041.
4. How to Find the LCM of 6034 and 6041?
Answer:
Least Common Multiple of 6034 and 6041 = 5207342
Step 1: Find the prime factorization of 6034
6034 = 2 x 7 x 431
Step 2: Find the prime factorization of 6041
6041 = 7 x 863
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5207342 = 2 x 7 x 431 x 863
Step 4: Therefore, the least common multiple of 6034 and 6041 is 5207342.